Some rigidity properties for λ-self-expanders

λ-self-expanders Σ in Rn+1 are the solutions of the isoperimetric problem with respect to the same weighted area form as in the study of the self-expanders. In this paper, we mainly extend the results on self-expanders which we obtained in Ancari and Cheng (2022) to λ-self-expanders. We prove some results that characterize the hyperplanes, spheres and cylinders as λ-self-expanders.